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Question

If P=246352152, then the number of proper even divisors of P will be

A
119
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B
120
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C
209
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D
210
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Solution

The correct option is C 209
P=246352152
P=24(2×3)352(3×5)2
P=273554
Total divisors will be =(7+1)(5+1)(4+1)=240
Total odd divisors will be =(5+1)(4+1)=30
Total even divisors will be =24030=210
Total proper even divisors will be =2101=209
( the number itself will not be included)

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